signature stringlengths 16 32 | problem_type stringclasses 12
values | optimization_type stringclasses 3
values | graph stringlengths 52 2.28k | solution stringlengths 235 4.05k | cost_hamiltonian stringlengths 11 5.66k | ansatz_id int64 1 18 | number_of_qubits int64 1 16 | number_of_layers int64 1 4 | exact_solution stringlengths 128 2.57k | circuit_with_params stringlengths 106 17.5k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ee3d1657115ac7fe63817a76eff6e74f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [175, 167], "expectation_value": -2.591009371660061, "params": [[[-0.0023, 0.0058000000000000005], [1.9112, 0.0023], [-0.002, 0.0026000000000000003], [1.9019000000000001, 0.001], [0.6938000000000001, 0.0089], [1.4942, 0.0037], [1.9120000000000001, 0.0073], [1.9051, 0.0078000000000000005], [1.8958000000000002... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(7) @ Z(5)) + -0.125 * (Z(3) @ Z(7) @ Z(6)) + -0.125 * (Z(7) @ Z(5) @ Z(6)) + 0.12... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.625, -4.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.625, "smallest_bitstrings": ["101100001", "101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0023) q[0];
rz(0.0058) q[0];
rx(1.9112) q[1];
rz(0.0023) q[1];
rx(-0.002) q[2];
rz(0.0026) q[2];
rx(1.9019) q[3];
rz(0.001) q[3];
rx(0.6938) q[4];
rz(0.0089) q[4];
rx(1.4942) q[5];
rz(0.0037) q[5];
rx(1.912) q[6];
rz(0.0073) q[6];
rx(1.9051) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
b10e647670f759bc4f3dd1387515cbab | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -0.020135649521889995, "params": [[-0.0302], [0.0223]], "bitstrings": ["101001", "001101"], "total_optimization_steps": 10, "probabilities": [0.015836376982713934, 0.015836376982713937], "optimization_time": 1.8782455921173096} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0302) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0302) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0302) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(-0.0302) q[5];
cx q[2], q[5];
cx q[5], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0... | null | {"circuits": [], "gradients": []} |
b34692bbb393a9c8c39ee60500b791d0 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [15, 911], "expectation_value": -0.5932403025737827, "params": [[-0.0477], [0.059500000000000004]], "bitstrings": ["1111110000", "0001110000"], "total_optimization_steps": 10, "probabilities": [0.0012619873544329374, 0.0013033340722337992], "optimization_time": 0.6823174953460693} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["0001110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(0.1431) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1431) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.0477) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(0.1908) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2]... | {"node": 5} | {"circuits": [], "gradients": []} |
-8434411597830634536 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 6], [2, 3], [3, 6], [2, 6], [0, 2], [2, 7], [3, 5], [1, 5], [8, 9], [9, 3], [0, 3], [2, 4], [1, 6]]} | {"states": [1053, 1085], "expectation_value": -0.34197536986003646, "params": [0.893, 0.054400000000000004, 0.8809, 0.0063, 0.7519, 0.17070000000000002, 0.6928000000000001, 0.0091, 0.7168, 0.1484, 0.6970000000000001, 0.0067, 0.7401, -0.1241, 0.7161000000000001, 0.007, 0.7229, 0.1734, 0.6927, 0.006500000000000001, 0.874... | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["01111000010", "10000111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.893) q[0];
rz(0.0544) q[0];
rx(0.7519) q[1];
rz(0.1707) q[1];
rx(0.7168) q[2];
rz(0.1484) q[2];
rx(0.7401) q[3];
rz(-0.1241) q[3];
rx(0.7229) q[4];
rz(0.1734) q[4];
rx(0.8749) q[5];
rz(-0.1615) q[5];
rx(0.8948) q[6];
rz(0.1819) q[6];
rx(0.8878) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
58927404864b316a7a7c3805d96a54c5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "s... | {"states": [9, 25], "expectation_value": -15.765361127834638, "params": [0.0029000000000000002, 0.0044, 0.0024000000000000002, 0.006500000000000001, 0.0025, 0.0092, 0.0024000000000000002, 0.0099, 1.6355000000000002, 0.0081, 2.6706000000000003, 0.0083, 0.0027, 0.0089, 0.0026000000000000003, 0.0033, 3.0003, 0.0054, 0.006... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-16.75, -16.75, -16.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.75, "smallest_bitstrings": ["111100110", "111100010", "101100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0029) q[0];
rz(0.0044) q[0];
rx(0.0024) q[1];
rz(0.0065) q[1];
rx(0.0025) q[2];
rz(0.0092) q[2];
rx(0.0024) q[3];
rz(0.0099) q[3];
rx(1.6355) q[4];
rz(0.0081) q[4];
rx(2.6706) q[5];
rz(0.0083) q[5];
rx(0.0027) q[6];
rz(0.0089) q[6];
rx(0.0026) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
62ca4fdc3f835f51dee1780376d2bf19 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [214, 122], "expectation_value": -14.89781157029369, "params": [[-0.0028, 0.013900000000000001, 0.0238, 0.0053], [-0.0039000000000000003, -0.0221, -0.042, -0.043000000000000003]], "bitstrings": ["00101001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00812313853995268, 0.0094003210940593... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0196) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0196) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0196) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0196) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
8e81033b0eea1a78c9dc239f0b77952c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [504, 509], "expectation_value": -0.6995257725203077, "params": [[0.078], [-0.0775]], "bitstrings": ["000000111", "000000010"], "total_optimization_steps": 10, "probabilities": [0.00281119228987836, 0.002872120537320939], "optimization_time": 3.1770901679992676} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(8) + -1.5 * Z(6) + -1.0 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000010", "000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.312) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.078) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.234) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.234) q[3];
cx q[1], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2... | {"node": 9} | {"circuits": [], "gradients": []} |
4788755b9046cb997ec5043a21f8c9e6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [366, 236], "expectation_value": -37.89171134271568, "params": null, "bitstrings": ["010010001", "100010011"], "total_optimization_steps": 100, "probabilities": [0.06937887547688923, 0.21790465421583316], "optimization_time": 174.7973132133484} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-9.1684) q[1];
ry(12.5337) q[5];
ry(34.5353) q[3];
ry(-6.435) q[6];
cry(37.3365) q[8], q[5];
cry(-63.431) q[8], q[1];
cry(-24.685) q[4], q[1];
cry(-62.9289) q[4], q[3];
cry(-35.6433) q[... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-9.1684) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
5599bf10ca71927ac876cacb8b12fa55 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [84, 22], "expectation_value": -6.499899780513089, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 32, "probabilities": [1.71240040087968e-05, 0.99994995827528], "optimization_time": 31.042637825012207} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101001", "0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5708) q[1];
ry(-1.4449) q[0];
ry(-1.4449) q[6];
ry(1.4449) q[4];
ry(1.4384) q[2];
ry(1.4384) q[5];
cry(-0.1259) q[5], q[6];
cry(-0.1259) q[5], q[0];
cry(0.1248) q[4], q[2];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
03fc078c7a20f2a5bd889c5ded444a79 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1711, 1709], "expectation_value": -1.4985942381955424, "params": [1.1032, 1.1003, 1.0999, 1.1002, 0.48800000000000004, 0.48400000000000004, 1.0964, 1.0916000000000001, 0.6604, 0.6527000000000001, 1.1025, 1.0945, -0.006200000000000001, -0.007200000000000001, 1.0991, 1.1033, 1.1022, 1.108, 0.739, 0.7445, 1.09... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 13 | 11 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.4375, "small... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.1032) q[0];
ry(1.0999) q[1];
ry(0.488) q[2];
ry(1.0964) q[3];
ry(0.6604) q[4];
ry(1.1025) q[5];
ry(-0.0062) q[6];
ry(1.0991) q[7];
ry(1.1022) q[8];
ry(0.739) q[9];
ry(1.0923) q[10];
crz(0.0129) q[10], q[0];
crz(-0.2624) q[9], q[10];
crz(0.0632) q[8], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d32bae70887cbda0fd64e6ae105154d4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -21.09678065679691, "params": [[-0.022600000000000002, -0.0047], [0.0516, 0.0653]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.0044017585278853895, 0.005414091693467197], "optimization_time": 3.769456624984741} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2034) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2034) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(-0.2034) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(-0.2034) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
06e0a2f639c9285c4548f03f994841c9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [125, 117], "expectation_value": -44.246928686736894, "params": [-0.0027, 1.065, 1.397, -0.013000000000000001, 1.3960000000000001, 0.24630000000000002, 1.3881000000000001, 0.5651, 0.8282, 0.6008, 1.3993, 0.38280000000000003, 0.226, 0.8348, 1.4000000000000001, 0.1537, -0.0024000000000000002, 0.0023, 1.3987, 0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + -3.5 * Z(0) + -0.5 * Z(1) + 8.5 * Z(2) + 8.0 * Z(3) + 11.0 * Z(4) + 12.0 * Z(5) + 0.5 * Z(6) + 8.0 * Z(7) | 18 | 8 | 2 | {"smallest_eigenvalues": [-54.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.0, "smallest_bitstrings": ["10001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0027) q[0];
rz(1.065) q[0];
rx(1.397) q[1];
rz(-0.013) q[1];
rx(1.396) q[2];
rz(0.2463) q[2];
rx(1.3881) q[3];
rz(0.5651) q[3];
rx(0.8282) q[4];
rz(0.6008) q[4];
rx(1.3993) q[5];
rz(0.3828) q[5];
rx(0.226) q[6];
rz(0.8348) q[6];
rx(1.4) q[7];
rz(0.1537) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
093ab0c9fe5feaef4b3d6216ac525ffc | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 6, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -21.716270738421805, "params": [-0.0275, 0.0882, -0.0308, -0.023100000000000002, 0.0051, 0.1694, -0.0022, 0.227, 0.1041, 0.0625, 0.07150000000000001, 0.07150000000000001, -0.2019, -0.0086, -0.1733, -0.009300000000000001, 0.0008, 0.1928, -0.0048000000000000004, 0.233, -0.0046, 0.2... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(0)) + -1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(7)) + -0.5 * (Z(2) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-27.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0275) q[0];
rz(0.0882) q[0];
rx(0.0051) q[1];
rz(0.1694) q[1];
rx(0.1041) q[2];
rz(0.0625) q[2];
rx(-0.2019) q[3];
rz(-0.0086) q[3];
rx(0.0008) q[4];
rz(0.1928) q[4];
rx(-0.0046) q[5];
rz(0.2324) q[5];
rx(-0.0355) q[6];
rz(0.0747) q[6];
rx(-0.0377) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
c57625ce2de67c1086ad1c24582707c2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -0.15066821835389696, "params": [[-0.0775], [0.0752]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.017842852901456777, 0.018208338053457847], "optimization_time": 1.2334730625152588} | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "101010", "111010", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.1162) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0775) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0387) q[4];
cx q[2], q[4];
cx q[2], q[5];
rz(0.0387) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.155... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x1) q[1];
c... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [21, 49], "expectation_value": -0.07304223858398387, "params": [[-0.0835], [0.0782]], "bitstrings": ["101010", "001110"], "total_optimization_steps": 10, "probabilities": [0.017270037725350244, 0.017270037725350244], "optimization_time": 1.9166300296783447} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0418) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0418) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0418) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0418) q[0];
cx q[1], q[0];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2... | null | {"circuits": [], "gradients": []} |
7192811123396178656 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [8, 2], [0, 2], [1, 4], [1, 2], [2, 7], [0, 4], [3, 4], [8, 5], [8, 7], [4, 7], [3, 6], [2, 4], [0, 3], [3, 5], [2, 5], [2, 3]]} | {"states": [398, 426], "expectation_value": -3.664948712989234, "params": null, "bitstrings": ["001110001", "001010101"], "total_optimization_steps": 92, "probabilities": [0.04998515886385116, 0.7125041107731599], "optimization_time": 160.84341835975647} | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["110101010", "110001110", "001010101", "001110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[8], q[2];
cry(-1.0342) q[3], q[6];
ry(1.0293) q[3];
cry(-1.2204) q[7], q[4];
ry(1.0366) q[7];
cry(1.4312) q[7], q[1];
cry(-0.7989) q[1], q[4];
cry(-1.1776) q[7], q[8];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
e6dcc679f346fee1e07ac4716aca0ef9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [951, 950], "expectation_value": -3.214282537776924, "params": [0.0263, 0.48140000000000005, 0.6931, -0.054, 0.6940000000000001, 0.0023, 0.4713, -0.2283, 0.0983, -0.2751, 0.7004, -0.0005, 0.7002, 0.0064, -0.0009000000000000001, 0.5288, 0.7010000000000001, 0.0046, 0.6880000000000001, -0.12890000000000001, 0.4... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.875, "smallest_bitstrings": ["10010001100", "10001001010", "10001011000", "10100001001", "01001001010", "10011001000", "10010001001", "01001101000",... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0263) q[0];
rz(0.4814) q[0];
rx(0.6931) q[1];
rz(-0.054) q[1];
rx(0.694) q[2];
rz(0.0023) q[2];
rx(0.4713) q[3];
rz(-0.2283) q[3];
rx(0.0983) q[4];
rz(-0.2751) q[4];
rx(0.7004) q[5];
rz(-0.0005) q[5];
rx(0.7002) q[6];
rz(0.0064) q[6];
rx(-0.0009) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
3a658982bdb8b79fcfb1b39110b06272 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [114, 118], "expectation_value": -4.604031953164285, "params": [0.0039000000000000003, 0.0022, 0.1794, 0.18710000000000002, -0.008700000000000001, -0.0099, 0.8061, 0.8024, 0.8061, 0.8094, 0.8014, 0.8032, 0.33540000000000003, 0.2672, 0.8123, 0.809, 0.8079000000000001, 0.8102, 0.0731, 0.0867, -0.0037, 0.3905, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.0 * Z(1) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1101010001", "1110001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0039) q[0];
ry(0.1794) q[1];
ry(-0.0087) q[2];
ry(0.8061) q[3];
ry(0.8061) q[4];
ry(0.8014) q[5];
ry(0.3354) q[6];
ry(0.8123) q[7];
ry(0.8079) q[8];
ry(0.0731) q[9];
crx(-0.0037) q[9], q[0];
crx(-0.1011) q[8], q[9];
crx(0.7904) q[7], q[8];
crx(0.7973) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9a44f437194a4879d426f5b6a5686299 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [38, 7], "expectation_value": -23.13645609781897, "params": null, "bitstrings": ["11011001", "11111000"], "total_optimization_steps": 85, "probabilities": [0.10998425517769823, 0.6193304682934831], "optimization_time": 199.7149772644043} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 6 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7752) q[1];
ry(-0.2982) q[4];
ry(-0.9561) q[0];
cry(-1.2721) q[6], q[4];
cry(-0.7941) q[7], q[1];
cry(-1.5708) q[5], q[3];
ry(1.0487) q[5];
cry(-1.5708) q[7], q[2];
ry(0.8819) q[7];
cry(-0.6... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
f490a28ecdd83f85cb7689547a0eb0f1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [44, 19], "expectation_value": -0.0923193942996691, "params": [[-0.0604], [0.0708]], "bitstrings": ["010011", "101100"], "total_optimization_steps": 10, "probabilities": [0.01723007229087297, 0.017230072290872974], "optimization_time": 0.9907872676849365} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["101100", "101010", "001011", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.0604) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0604) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(-0.0604) q[2];
cx q[4], q[2];
cx q[5], q[2];
rz(-0.0604) q[2];
cx q[5], q[2];
cx q[2], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} |
305451fe42c8e99c594080bbfd8c69fa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [84, 100], "expectation_value": -0.15242012282097722, "params": [[-0.0246, 0.0742], [0.0551, -0.053000000000000005]], "bitstrings": ["0101011", "0011011"], "total_optimization_steps": 10, "probabilities": [0.008772098449790046, 0.008772098449790048], "optimization_time": 2.8225677013397217} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011100", "0011011", "0101011", "1110100", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0246) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.0246) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.0246) q[6];
cx q[0], q[6];
cx q[3], q[1];
rz(-0.0246) q[1];
cx q[3], q[1];
cx q[3], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
-1751951701620481849 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 4], [3, 4], [0, 1], [1, 2]]} | {"states": [23, 21], "expectation_value": -0.04546267575931634, "params": [[[1.7585000000000002, 0.0066], [1.3795000000000002, 0.006200000000000001], [1.7548000000000001, 0.0097], [1.5518, 0.0051], [1.6698000000000002, 0.0045000000000000005]]], "bitstrings": ["01000", "01010"], "total_optimization_steps": 180, "probabi... | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(1.7585) q[0];
rz(0.0066) q[0];
rx(1.3795) q[1];
rz(0.0062) q[1];
rx(1.7548) q[2];
rz(0.0097) q[2];
rx(1.5518) q[3];
rz(0.0051) q[3];
rx(1.6698) q[4];
rz(0.0045) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] =... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
ad5e16c647b3e8afeeb51cea63283747 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [104, 19], "expectation_value": -0.10009090434016299, "params": [[-0.027800000000000002, 0.051000000000000004], [0.0408, -0.0368]], "bitstrings": ["0010111", "1101100"], "total_optimization_steps": 10, "probabilities": [0.008222643077972058, 0.008284674615453177], "optimization_time": 3.4954729080200195} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -2.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(6) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "0010111", "0100111", "1101100", "0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0278) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.0278) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.0278) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(-0.0278) q[1];
cx q[5], q[1];
cx q[4], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [2, 3], "expectation_value": -26.622046754145558, "params": [0.0269, 0.26990000000000003, -0.0014, 0.2833, 0.0222, 0.2677, 0.0685, 0.27540000000000003, 0.23750000000000002, 0.2942, 0.49250000000000005, 0.1849, 0.4858, 0.18660000000000002, 0.0346, 0.2763, 0.0002, 0.2803, 0.025400000000000002, 0.26630000000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0269) q[0];
rz(0.2699) q[0];
rx(-0.0014) q[1];
rz(0.2833) q[1];
rx(0.0222) q[2];
rz(0.2677) q[2];
rx(0.0685) q[3];
rz(0.2754) q[3];
rx(0.2375) q[4];
rz(0.2942) q[4];
rx(0.4925) q[5];
rz(0.1849) q[5];
rx(0.4858) q[6];
rz(0.1866) q[6];
crz(0.3006) q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
1d157fef5c5aef3ec5bc9e7913c224a5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"source": 1, "target":... | {"states": [816, 820], "expectation_value": -6.463469076297456, "params": [0.8976000000000001, 0.897, 0.9056000000000001, 0.9053, -0.0035, -0.005, 0.7005, 0.7078, 0.894, 0.8938, 0.8991, 0.9026000000000001, -0.0033, -0.0036000000000000003, 0.8589, 0.8565, -0.0055000000000000005, -0.0056, 0.0017000000000000001, 0.0012000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["0010001111", "0011001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8976) q[0];
ry(0.9056) q[1];
ry(-0.0035) q[2];
ry(0.7005) q[3];
ry(0.894) q[4];
ry(0.8991) q[5];
ry(-0.0033) q[6];
ry(0.8589) q[7];
ry(-0.0055) q[8];
ry(0.0017) q[9];
crz(0.4479) q[9], q[0];
crz(-0.4618) q[8], q[9];
crz(0.0001) q[7], q[8];
crz(0.4561) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1945c14bbcec92b7e4f7655d5da7795f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [128, 1], "expectation_value": -8.257007480993849, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 22, "probabilities": [0.16181872014306584, 0.644917025833557], "optimization_time": 21.001314640045166} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11111110", "10011010", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[3];
ry(-1.5706) q[6];
cry(-1.5708) q[7], q[0];
ry(-1.5708) q[2];
ry(-1.57) q[4];
ry(0.6154) q[7];
ry(-0.3357) q[0];
cry(0.5498) q[1], q[7];
cry(-0.2703) q[1], q[0];
ry(-1.3601) q[5];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
1454358218815176075 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 6], [0, 2, 4, 5, 6], [0, 1, 2, 3, 4], [0, 3, 7], [1, 7], [2, 3, 5], [2, 3, 4, 7]]} | {"states": [94, 222], "expectation_value": -0.24554690138834565, "params": [[-0.1494], [0.15810000000000002]], "bitstrings": ["10100001", "00100001"], "total_optimization_steps": 20, "probabilities": [0.005077680197716858, 0.0050828645439357275], "optimization_time": 3.3545267581939697} | 0.21666666666666667 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.1 * (Z(0) @ Z(2)) + 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(6)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(6)) + 0.1 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0666666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9500000000000002, "smallest_bitstrings": ["00100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(-0.0647) q[1];
cx q[2], q[1];
cx q[2], q[6];
rz(-0.0647) q[6];
cx q[2], q[6];
cx q[1], q[6];
rz(-0.0498) q[6];
cx q[1], q[6];
cx q[2], q[0];
rz(-0.0299) q[0];
cx q[2], q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
3fb3735639c46bff7d77a855f00e5a0c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [1, 5], "expectation_value": -0.07404075420818793, "params": [[0.035500000000000004], [-0.0368]], "bitstrings": ["1111110", "1111010"], "total_optimization_steps": 10, "probabilities": [0.008367847800452032, 0.00837000048530763], "optimization_time": 1.8503048419952393} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0355) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0533) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0355) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.0355) q[1];
cx q[2], q[1];
cx q[5], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-2449220978883315878 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [1, 2, 6, 7], [0, 4], [0, 2], [0, 6, 7], [1, 2, 4, 7], [0, 1], [0, 3, 5], [1, 3], [1, 2, 5, 6], [2, 3, 5, 7], [4, 5, 6, 7], [0, 5, 6]]} | {"states": [62, 110], "expectation_value": -3.32047466829874, "params": null, "bitstrings": ["11000001", "10010001"], "total_optimization_steps": 55, "probabilities": [0.09151186737088124, 0.7951725229676709], "optimization_time": 103.02985978126526} | 0.5 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5405) q[6];
ry(1.3018) q[5];
cry(-1.2174) q[4], q[0];
ry(1.3481) q[2];
cry(-0.6235) q[1], q[0];
ry(1.0314) q[4];
cry(-1.3044) q[1], q[3];
cry(0.9389) q[4], q[1];
cry(-0.4404) q[6], q[0];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5405) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
f6cdf6caae833c575489bb2b7a623058 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [99, 106], "expectation_value": -4.4998837594657655, "params": null, "bitstrings": ["0011100", "0010101"], "total_optimization_steps": 31, "probabilities": [1.641381075984253e-05, 0.9999151790540868], "optimization_time": 27.37117099761963} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[2];
ry(-1.5681) q[4];
ry(-1.4449) q[6];
ry(1.4449) q[5];
ry(1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[0];
cry(-0.1259) q[3], q[6];
cry(0.1218) q[5], q[0];
cry(0.1216) q[0], q[3];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
37b4d7e73e68e3a0e1c4ff3b862df722 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "source": 0, "target":... | {"states": [256, 384], "expectation_value": -14.076960993045025, "params": [-0.4878, -0.0028, -0.1661, 0.0074, -0.0109, 0.32020000000000004, 0.0134, 0.4152, 0.6053000000000001, -0.0025, 0.5966, -0.005200000000000001, -0.3768, -0.0038, -0.35400000000000004, -0.0015, 0.0008, 0.45930000000000004, 0.0013000000000000002, 0.... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + 1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(9)) + -0.75 * (Z(1) @ Z(10)) + -0.75 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z... | 6 | 11 | 2 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["11001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.4878) q[0];
rz(-0.0028) q[0];
rx(-0.0109) q[1];
rz(0.3202) q[1];
rx(0.6053) q[2];
rz(-0.0025) q[2];
rx(-0.3768) q[3];
rz(-0.0038) q[3];
rx(0.0008) q[4];
rz(0.4593) q[4];
rx(-0.0135) q[5];
rz(0.3866) q[5];
rx(0.004) q[6];
rz(0.4567) q[6];
rx(0.2938) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
b35471d22a6edeecd15d92b336fcafe1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target":... | {"states": [2047, 1023], "expectation_value": -17.51036434516033, "params": [[[0.0038, -0.0024000000000000002], [-0.0019, 0.0018000000000000002], [0.005200000000000001, 0.0025], [0.0067, 0.0021000000000000003], [0.0102, 0.0024000000000000002], [0.0029000000000000002, 0.0024000000000000002], [0.0004, 0.00240000000000000... | -0.25 * (Z(0) @ Z(7)) + -2.0 * (Z(1) @ Z(4)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z(10) @ Z(4)) + -0.75 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(8)) + -1.0 * (Z(3) @ Z(10)) + -1.5 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(8)) + -1.25 * (Z(5) @ Z(3)) + -1.25 * (Z(... | 15 | 11 | 2 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0038) q[0];
ry(-0.0019) q[1];
ry(0.0052) q[2];
ry(0.0067) q[3];
ry(0.0102) q[4];
ry(0.0029) q[5];
ry(0.0004) q[6];
ry(0.0105) q[7];
ry(-0.0015) q[8];
ry(-0.0051) q[9];
ry(1.5914) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
2578399584052386360 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 5, 6], [1, 4, 6], [1, 3], [1, 5], [0, 5, 6], [0, 1], [0, 3, 5], [2, 3, 6], [0, 2, 3], [0, 4, 6]]} | {"states": [113, 94], "expectation_value": -0.9297973166409997, "params": [[-0.24100000000000002], [0.2431]], "bitstrings": ["0001110", "0100001"], "total_optimization_steps": 30, "probabilities": [0.016808713082933247, 0.016857165762376846], "optimization_time": 1.2307837009429932} | 0.16666666666666666 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(2)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333333, -2.833333333333333, -2.833333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0110000", "0100001", "0110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[2];
rz(-0.0803) q[2];
cx q[5], q[2];
cx q[5], q[6];
rz(-0.1607) q[6];
cx q[5], q[6];
cx q[2], q[6];
rz(-0.1607) q[6];
cx q[2], q[6];
cx q[5], q[1];
rz(-0.241) q[1];
cx q[5], q[1];
cx q[6], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[6];
rz(x1) q[6];
cx q[5], q[6]... | null | {"circuits": [], "gradients": []} |
ad7ba83290870f78ee39f06faaa6d5c0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -6.144746033732121, "params": null, "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 59, "probabilities": [0.3669769650464584, 0.3669769650464584], "optimization_time": 90.07308316230774} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000010", "10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5706) q[3];
ry(1.5708) q[2];
cry(1.5708) q[3], q[1];
cry(1.3016) q[7], q[4];
cry(1.18) q[4], q[7];
cry(-1.308) q[7], q[0];
cry(1.0342) q[3], q[5];
cry(0.3915) q[2], q[5];
cry(-0.227) q[4], q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
3f15d8a3a52bb3495503dcce203eb5e8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [11, 60], "expectation_value": -0.8709921727239102, "params": [[0.0635, 0.06720000000000001, 0.0756], [-0.0623, -0.0655, -0.0698]], "bitstrings": ["1110100", "1000011"], "total_optimization_steps": 10, "probabilities": [0.013596489422887504, 0.013819318307096687], "optimization_time": 4.194010496139526} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000011", "1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0635) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0635) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0635) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.0635) q[5];
cx q[4], q[5];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [20, 5], "expectation_value": -0.3146200948745226, "params": [[0.0407, 0.0383, 0.06720000000000001], [-0.030600000000000002, -0.0234, -0.046]], "bitstrings": ["01011", "11010"], "total_optimization_steps": 10, "probabilities": [0.035711382508583384, 0.035711382508583446], "optimization_time": 3.1989893913269... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0407) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0407) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0407) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0407) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0407) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -1.35953897569352, "params": [[0.0682], [-0.0516]], "bitstrings": ["1011", "1110"], "total_optimization_steps": 10, "probabilities": [0.070884428336243, 0.07220500352123532], "optimization_time": 0.8018147945404053} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.2387) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2387) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2387) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2728) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2387) q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) ... | {"k": 3} | {"circuits": [], "gradients": []} |
cf9a1540b011355d554ff1ed574e9153 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [85, 29], "expectation_value": -4.499130260587304, "params": null, "bitstrings": ["0101010", "1100010"], "total_optimization_steps": 32, "probabilities": [0.06552842207412077, 0.9338525446455993], "optimization_time": 29.718908309936523} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100010", "0101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[1];
ry(1.4449) q[6];
ry(1.4449) q[4];
ry(1.4449) q[2];
cry(-1.0343) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[0];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-7643063222588148625 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 4, 6, 7], [5, 7], [0, 3, 4], [1, 2], [9, 4, 1, 7], [0, 2], [0, 1], [0, 8], [2, 3], [9, 3], [8, 9]]} | {"states": [359, 358], "expectation_value": -0.22399049490250736, "params": [0.7015, -0.0017000000000000001, 0.6924, 0.006900000000000001, 0.7082, -0.0038, 0.7046, 0.0011, 0.6999000000000001, 0.0269, 0.6786, 0.0074, 0.7093, 0.0005, 0.7039000000000001, 0.008, 0.6984, 0.0064, 0.6983, 0.0061, 0.7058, -0.0007, 0.5371, 0.00... | 0.08333333333333333 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.16666666... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333333, "smallest_bitstrings": ["1010011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7015) q[0];
rz(-0.0017) q[0];
rx(0.7082) q[1];
rz(-0.0038) q[1];
rx(0.6999) q[2];
rz(0.0269) q[2];
rx(0.7093) q[3];
rz(0.0005) q[3];
rx(0.6984) q[4];
rz(0.0064) q[4];
rx(0.7058) q[5];
rz(-0.0007) q[5];
rx(0.701) q[6];
rz(0.0015) q[6];
rx(0.7048) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
24ec85ceb3f94374e977a871ddcf35bc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 44], "expectation_value": -0.18132154351828803, "params": [[0.0368, 0.06760000000000001], [-0.016, -0.0548]], "bitstrings": ["011100", "010011"], "total_optimization_steps": 10, "probabilities": [0.017655271437711718, 0.018011728339193202], "optimization_time": 2.3157334327697754} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0368) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0368) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.0368) q[3];
cx q[1], q[3];
cx q[1], q[5];
rz(0.0368) q[5];
cx q[1], q[5];
cx q[2], q[5];
rz(0.0368... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
58c03faa30d0c8774100cfa24f25fe60 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [508, 511], "expectation_value": -13.344120877176142, "params": [[[0.0023, 1.7041000000000002], [0.0019, -0.002], [-0.0026000000000000003, -0.002], [-0.0029000000000000002, -0.0031000000000000003], [-0.0023, -0.0024000000000000002], [-0.0027, -0.0029000000000000002], [-0.0031000000000000003, -0.0029000000000... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4... | 15 | 9 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["000001100", "000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0023) q[0];
ry(0.0019) q[1];
ry(-0.0026) q[2];
ry(-0.0029) q[3];
ry(-0.0023) q[4];
ry(-0.0027) q[5];
ry(-0.0031) q[6];
ry(-0.0028) q[7];
ry(-0.0022) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 7} | {"circuits": [], "gradients": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -3.996398041568144, "params": null, "bitstrings": ["100011", "010011"], "total_optimization_steps": 25, "probabilities": [0.06635196634064289, 0.9303270202946885], "optimization_time": 21.30604124069214} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.4449) q[4];
ry(1.4417) q[3];
ry(1.4417) q[2];
cry(-1.0342) q[0], q[1];
ry(0.7003) q[0];
cry(-0.1259) q[3], q[4];
ry(-0.4549) q[1];
cry(0.4962) q[3], q[0];
cry(-0.3788) q[3], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
d2e3f71e5c020057da0dd1812bdf6517 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [31710, 56190], "expectation_value": -12.460012777396036, "params": [[0.19740000000000002, 0.6522, 1.8696000000000002], [-0.5301, -0.26080000000000003, -0.1522]], "bitstrings": ["1000010000100001", "0010010010000001"], "total_optimization_steps": 370, "probabilities": [0.005322929778589963, 0.005322929778589... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z... | 1 | 16 | 3 | {"smallest_eigenvalues": [-13.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.999999999999911, "smallest_bitstrings": ["0010010010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.1974) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1974) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1974) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
... | {"number_of_colors": 4} | {"circuits": [], "gradients": []} |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [74, 91], "expectation_value": -6.1406295786935745, "params": null, "bitstrings": ["10110101", "10100100"], "total_optimization_steps": 63, "probabilities": [0.10520568084598521, 0.7250061271220744], "optimization_time": 81.44513845443726} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5709) q[6];
cry(1.4449) q[7], q[3];
cry(1.4449) q[5], q[1];
cry(-1.4449) q[6], q[0];
cry(-0.9598) q[6], q[5];
cry(1.0462) q[4], q[7];
cry(1.069) q[6], q[4];
ry(0.5782) q[7];
cry(-0.8137) q[1]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
5144181ac27497fdfa9bdb5b8b799630 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [2, 0], "expectation_value": -0.0465287059136857, "params": [[0.0516, 0.020300000000000002], [-0.0541, -0.0269]], "bitstrings": ["01", "11"], "total_optimization_steps": 10, "probabilities": [0.2545269430879782, 0.254841761846454], "optimization_time": 0.6690340042114258} | 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -1.0 * Z(1) | 1 | 2 | 2 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["11"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[2] c;
qubit[2] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0516) q[0];
cx q[1], q[0];
rz(-0.1032) q[0];
rz(-0.1032) q[1];
h q[0];
rz(-0.1082) q[0];
h q[0];
h q[1];
rz(-0.1082) q[1];
h q[1];
cx q[1], q[0];
rz(0.0203) q[0];
cx q[1], q[0];
rz(-0.0406) q[0];
rz(-0.0406) q[1];
h q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[2] c;
qubit[2] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[0];
rz(x1) q[1];
h q[0];
rz(x2) q[0];
h q[0];
h q[1];
rz(x2) q[1];
h q[1... | null | {"circuits": [], "gradients": []} |
2bbc60cec4936248b5b957fd90d91e8f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [63, 55], "expectation_value": -42.85642044159451, "params": [-0.0019, 0.0059, 1.4817, 0.0012000000000000001, 2.7007000000000003, 0.0013000000000000002, 2.7042, 0.004, 1.5419, 0.0018000000000000002, 2.6987, 0.0049, 2.6933000000000002, 0.0094, 2.6986000000000003, 0.007500000000000001, 0.009000000000000001, 0.... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(0) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 12.5 * Z(2) + 8.0 * Z(1) + 8.5 * Z(4) + 14.5 * Z(3) + 1.5 * Z(5) + -4.0 * Z(0) + 11.5 * Z(6) + 11.5 ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["11001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0019) q[0];
rz(0.0059) q[0];
rx(1.4817) q[1];
rz(0.0012) q[1];
rx(2.7007) q[2];
rz(0.0013) q[2];
rx(2.7042) q[3];
rz(0.004) q[3];
rx(1.5419) q[4];
rz(0.0018) q[4];
rx(2.6987) q[5];
rz(0.0049) q[5];
rx(2.6933) q[6];
rz(0.0094) q[6];
rx(2.6986) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9]}"} | {"circuits": [], "gradients": []} |
ea87393c81b1fa2eb1bd7f9a85da6103 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [243, 255], "expectation_value": -11.355115432882943, "params": null, "bitstrings": ["100001100", "100000000"], "total_optimization_steps": 100, "probabilities": [0.13334261849077048, 0.402610791059112], "optimization_time": 139.15467405319214} | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(0) | 5 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5706) q[1], q[2];
cry(1.5708) q[2], q[3];
cry(1.2391) q[3], q[1];
cry(1.5708) q[2], q[4];
ry(-0.9664) q[2];
cry(0.1667) q[4], q[2];
cry(0.0453) q[3], q[2];
cry(1.0793) q[8], q[2];
cr... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5706) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
8cffed0a6ee313f29bb5a21cb84f4001 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [215, 199], "expectation_value": -1.2418891924075384, "params": [0.2954, 0.0784, 0.39740000000000003, 0.0159, 0.3997, 0.001, -0.0005, 0.2439, 0.40140000000000003, 0.1409, 0.3362, 0.2305, 0.3996, 0.014100000000000001, 0.4053, 0.0059, 0.39590000000000003, -0.0002, 0.3019, 0.0801, 0.3975, 0.0229, 0.3977, 0.0044... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.0625 * (Z(4) @ Z(8)) + 0... | 16 | 9 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5625, "smallest_bitstrings": ["110101000", "100110001", "001101100", "100111000", "100101100", "001110100", "010101100", "100101010", "100... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2954) q[0];
rz(0.0784) q[0];
rx(0.3974) q[1];
rz(0.0159) q[1];
rx(0.3997) q[2];
rz(0.001) q[2];
rx(-0.0005) q[3];
rz(0.2439) q[3];
rx(0.4014) q[4];
rz(0.1409) q[4];
rx(0.3362) q[5];
rz(0.2305) q[5];
rx(0.3996) q[6];
rz(0.0141) q[6];
rx(0.4053) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
bbe413a0841b062dbaa665f6954396a2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [2746, 2743], "expectation_value": -2.3732602303485826, "params": [[[0.3899, 0.0114], [0.0083, 0.009300000000000001], [0.6774, 0.007], [0.1327, -0.019100000000000002], [0.6685, 0.0412], [0.0001, 0.0897], [0.3068, 0.1772], [0.4313, 0.2076], [0.2969, 0.46690000000000004], [0.308, 0.6969000000000001], [0.606100... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) ... | 15 | 12 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.75, "smallest_bitstrings": ["100101001000", "011001000100", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.3899) q[0];
ry(0.0083) q[1];
ry(0.6774) q[2];
ry(0.1327) q[3];
ry(0.6685) q[4];
ry(0.0001) q[5];
ry(0.3068) q[6];
ry(0.4313) q[7];
ry(0.2969) q[8];
ry(0.308) q[9];
ry(0.6061) q[10];
ry(0.6812) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
df291902c871f6dbb60c148e9571c06f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target":... | {"states": [511, 510], "expectation_value": -0.918646825831341, "params": [[0.0223], [-0.0304]], "bitstrings": ["000000000", "000000001"], "total_optimization_steps": 10, "probabilities": [0.0023680696877388468, 0.0023744990022093342], "optimization_time": 1.0006051063537598} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(3)) + -3.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.1561) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0446) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1784) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1115) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"node": 8} | {"circuits": [], "gradients": []} |
965cefed52e621c4c90674f817650a6a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1... | {"states": [63, 17], "expectation_value": -5.913765197014922, "params": [[-0.1502, -0.1363, -0.11720000000000001], [0.1728, 0.16970000000000002, 0.168]], "bitstrings": ["1000000", "1101110"], "total_optimization_steps": 20, "probabilities": [0.08166793157668174, 0.1361979432143782], "optimization_time": 3.7537927627563... | -0.75 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.75 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + -0.5 * Z(4) + 2.25 * Z(2) + -0.75 * Z(3) +... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.2253) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.4506) q[1];
cx q[5], q[1];
cx q[5], q[4];
rz(0.4506) q[4];
cx q[5], q[4];
cx q[1], q[4];
rz(0.2253) q[4];
cx q[1], q[4];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
5384376261088904827 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 5], [2, 3], [0, 3, 4], [0, 1], [1, 3, 4]]} | {"states": [42, 38], "expectation_value": -1.7420317285514022, "params": null, "bitstrings": ["010101", "011001"], "total_optimization_steps": 34, "probabilities": [0.05616955993933898, 0.8019487166654504], "optimization_time": 30.86440110206604} | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.0 * Z(5) + 0.16666666666666674 * Z(0) + 0.3333333333333335 * Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333335, "smallest_bitstrings": ["011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.2292) q[4];
cry(-1.0342) q[0], q[5];
ry(0.7191) q[0];
cry(-1.3177) q[0], q[1];
cry(-1.0342) q[3], q[2];
ry(0.7948) q[3];
ry(-0.5331) q[2];
cry(0.4773) q[4], q[3];
ry(-0.4711) q[5];
cry(0.4188) q[4], q[0];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.2292) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
6d259388045d20d69ae4242ad2e143d7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [1, 9], "expectation_value": -0.3452944016513666, "params": [[-0.0592, -0.050100000000000006], [0.0703, 0.0626]], "bitstrings": ["11110", "10110"], "total_optimization_steps": 10, "probabilities": [0.0399742167231503, 0.042398563444136776], "optimization_time": 1.7216904163360596} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(0.0592) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0888) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0592) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0296) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.0296) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [56, 7], "expectation_value": -7.217940978553624, "params": [[-0.0438, -0.036500000000000005, -0.039, -0.0187], [0.0712, 0.0678, 0.0674, 0.0608]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.022998991378582568, 0.025487676486324842], "optimization_time": 10.12561... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 10 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1971) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1971) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1971) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1971) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
434247303927267147 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 2], [9, 10], [0, 5], [1, 5, 7], [0, 3, 4], [9, 11], [9, 2, 7], [8, 5], [1, 10], [8, 10, 12], [0, 11], [0, 9, 1], [8, 4], [0, 6], [8, 1], [2, 3], [0, 2], [1, 11, 6], [3, 12], [10, 3], [10, 11, 5], [0, 3, 7], [1, 3, 6], [0, 12], [9, 3, 7], [8, 9]]} | {"states": [3529, 3561], "expectation_value": -6.932256662659357, "params": [-0.0022, -0.0022, 1.5716, 1.566, 1.5733000000000001, 1.5745, 0.4995, 0.5021, 1.5649000000000002, 1.5719, 1.5690000000000002, 1.5684, 1.6026, 1.5338, 0.8306, 0.8219000000000001, -0.0022, -0.0022, 1.5719, 1.5743, -0.0029000000000000002, -0.00290... | 0.5 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.166666666... | 13 | 13 | 1 | {"smallest_eigenvalues": [-7.3333333333333375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.333333333333336, "smallest_bitstrings": ["1001000010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0022) q[0];
ry(1.5716) q[1];
ry(1.5733) q[2];
ry(0.4995) q[3];
ry(1.5649) q[4];
ry(1.569) q[5];
ry(1.6026) q[6];
ry(0.8306) q[7];
ry(-0.0022) q[8];
ry(1.5719) q[9];
ry(-0.0029) q[10];
ry(0.3557) q[11];
ry(1.5727) q[12];
crz(0.0041) q[12], q[0];
crz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
49431655f39ba316375c5cbb8cf0bd22 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [125, 93], "expectation_value": -59.593077584162536, "params": [-0.0032, 0.9318000000000001, 1.3986, -0.0892, 0.777, -0.3007, 1.3975, -0.021400000000000002, 1.3920000000000001, -0.031, 1.3687, -0.2199, 0.7619, 0.5525, 1.0234, 0.5097, -0.0032, 0.0004, 1.3986, 0.0067, 0.7811, 0.0085, 1.3907, 0.0024000000000000... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(2) @ Z(5)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 13.0 * Z(1) + -5.5 * Z(0) + 12.0 * Z(5) + 22.0 * Z(4) + ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0032) q[0];
rz(0.9318) q[0];
rx(1.3986) q[1];
rz(-0.0892) q[1];
rx(0.777) q[2];
rz(-0.3007) q[2];
rx(1.3975) q[3];
rz(-0.0214) q[3];
rx(1.392) q[4];
rz(-0.031) q[4];
rx(1.3687) q[5];
rz(-0.2199) q[5];
rx(0.7619) q[6];
rz(0.5525) q[6];
rx(1.0234) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
3548e6a53fe7f33eccefb9f4fe0aae2f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [8186, 8187], "expectation_value": -34.32860442520825, "params": [-0.0021000000000000003, 0.7613000000000001, 0.0023, 0.0047, -0.0021000000000000003, 0.2959, 0.0023, 0.0029000000000000002, 1.7715, -0.2102, 1.3766, 0.0005, 1.5961, -0.2082, 1.5419, 0.008400000000000001, 1.7711000000000001, -0.2102, 1.3771, 0.0... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 2.0 * (Z(9) @ Z(10)) + 4.0 * (Z(11) @ Z(10)) + 2.0 * ... | 5 | 15 | 1 | {"smallest_eigenvalues": [-35.33333333333283], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.333333333333286, "smallest_bitstrings": ["110000000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(-0.0021) q[0];
rz(0.7613) q[0];
rx(-0.0021) q[1];
rz(0.2959) q[1];
rx(1.7715) q[2];
rz(-0.2102) q[2];
rx(1.5961) q[3];
rz(-0.2082) q[3];
rx(1.7711) q[4];
rz(-0.2102) q[4];
rx(1.7683) q[5];
rz(-0.2107) q[5];
rx(1.9155) q[6];
rz(-0.1977) q[6];
rx(1.6201) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
ed46de376d1660326c9e503ea9950a07 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2, 3], "expectation_value": -25.22512108535395, "params": [[[0.1129, 0.261], [0.11380000000000001, -0.2619], [0.0088, -0.2823], [0.1022, -0.26480000000000004], [0.10940000000000001, 0.2611], [0.5993, -0.0002], [0.596, 0.0001]], [[0.11670000000000001, 0.261], [0.11560000000000001, 0.26230000000000003], [0.01... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 7 | 3 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1129) q[0];
rz(0.261) q[0];
rx(0.1138) q[1];
rz(-0.2619) q[1];
rx(0.0088) q[2];
rz(-0.2823) q[2];
rx(0.1022) q[3];
rz(-0.2648) q[3];
rx(0.1094) q[4];
rz(0.2611) q[4];
rx(0.5993) q[5];
rz(-0.0002) q[5];
rx(0.596) q[6];
rz(0.0001) q[6];
rx(0.1167) q[0];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
b870bf177a3da6a6ab4722ca2196f1d4 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [104, 42], "expectation_value": -2.2714650548847635, "params": [[-0.0799, -0.08600000000000001, -0.08310000000000001], [0.0746, 0.0792, 0.0771]], "bitstrings": ["0010111", "1010101"], "total_optimization_steps": 10, "probabilities": [0.01896292709182946, 0.019625490034066585], "optimization_time": 9.99024224... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -2.5 * Z(4) + -0.5 * Z(0) + -1.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010101", "0010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0799) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.0799) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.0799) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0799) q[1];
cx q[4], q[1];
cx q[4], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
644649159341150077 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 6], [1, 2, 4, 5, 6, 9, 11], [9, 7], [4, 7], [0, 1, 5, 7, 8], [0, 3, 11], [0, 1, 2, 5, 6, 8, 9], [0, 2, 5, 9, 10, 11], [1, 4, 6, 9, 10], [0, 4, 5, 6, 8, 11], [8, 9, 3, 6]]} | {"states": [3187, 3315], "expectation_value": -2.3683356351854217, "params": [[[2.8996, 0.0001], [2.887, 0.0033], [1.3105, 0.0049], [1.2832000000000001, 0.0085], [1.5795000000000001, 0.0098], [2.8302, 0.0041], [2.8968000000000003, 0.008700000000000001], [2.8981000000000003, 0.0024000000000000002], [1.3166, 0.0043], [0.... | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.25 * (Z(8) @ Z(5)) + 0.21428571428571427 * (Z(8) @ Z(4)) + 0.047619047619047616 * (Z(1) @ Z(4)) + 0.09761904761904762 * (Z(1) @ Z(8)) + 0.023809523809523808 * (Z(6) @ Z(4)) + 0.10714285714285715 * (Z(6) @ Z(8)) + 0.07380952380952381 * (Z(6) @ Z(1)) + 0.08095238095238094 * (Z(7) @... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.05], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.049999999999999, "smallest_bitstrings": ["001100001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.8996) q[0];
rz(0.0001) q[0];
rx(2.887) q[1];
rz(0.0033) q[1];
rx(1.3105) q[2];
rz(0.0049) q[2];
rx(1.2832) q[3];
rz(0.0085) q[3];
rx(1.5795) q[4];
rz(0.0098) q[4];
rx(2.8302) q[5];
rz(0.0041) q[5];
rx(2.8968) q[6];
rz(0.0087) q[6];
rx(2.8981) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4178481052187267646 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 7], [0, 8], [1, 7], [8, 3], [0, 4], [8, 5], [1, 6]]} | {"states": [145, 23], "expectation_value": -2.9167273895630315, "params": null, "bitstrings": ["101101110", "111101000"], "total_optimization_steps": 76, "probabilities": [0.038695298396817256, 0.6957402466058205], "optimization_time": 135.08309483528137} | 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * Z(2) + 0.16666666666666674 * Z(8) + 0.16666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.3333333333333335, -3.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.3333333333333326, "smallest_bitstrings": ["111101000", "100101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[8], q[0];
ry(0.971) q[8];
cry(-1.3758) q[8], q[5];
cry(-1.3758) q[8], q[3];
cry(-0.8029) q[4], q[0];
cry(1.1656) q[8], q[4];
cry(0.2309) q[4], q[8];
ry(-0.3537) q[0];
cry(-1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
2811d61d5f2af44ed340d40c20ed9351 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [14, 7], "expectation_value": -4.9890656587998095, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 31, "probabilities": [0.06023624493013055, 0.8645378003119564], "optimization_time": 27.185932159423828} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1101100", "1111000", "1110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[0];
ry(1.4449) q[5];
cry(-1.0342) q[4], q[2];
cry(-1.0342) q[6], q[3];
ry(0.7003) q[6];
ry(0.7003) q[4];
ry(-0.4549) q[2];
cry(0.4963) q[5], q[4];
ry(-0.4549) q[3];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
b6acc179a4a15da3d535b4a626064489 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 61], "expectation_value": -0.5497699034463333, "params": [[0.015000000000000001, -0.0346, -0.0604], [-0.054400000000000004, 0.004, 0.053000000000000005]], "bitstrings": ["1000000", "1000010"], "total_optimization_steps": 10, "probabilities": [0.010356722129860505, 0.010502047543191027], "optimization_ti... | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(6)) + -0.75 * Z(5) + -0.25 * Z(0) + 1.25 * Z(1) + 1.0 * Z(2) + -0.25... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(-0.015) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.015) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(-0.03) q[2];
cx q[1], q[2];
cx q[5], q[4];
rz(-0.0075) q[4];
cx q[5], q[4];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
8f4da54127eaef3ad4283690d95e9ab5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [63, 31], "expectation_value": -14.027815213912966, "params": [[[-1.6273, 0.0078000000000000005], [0.0025, 0.0098], [0.0026000000000000003, 0.0046], [0.0026000000000000003, 0.0012000000000000001], [0.0022, 0.0014], [3.1577, 0.005200000000000001]]], "bitstrings": ["000000", "100000"], "total_optimization_step... | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0) | 2 | 6 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-1.6273) q[0];
rz(0.0078) q[0];
rx(0.0025) q[1];
rz(0.0098) q[1];
rx(0.0026) q[2];
rz(0.0046) q[2];
rx(0.0026) q[3];
rz(0.0012) q[3];
rx(0.0022) q[4];
rz(0.0014) q[4];
rx(3.1577) q[5];
rz(0.0052) q[5];
cx q[5], q[4];
cx q[4], q[3];
cx q[3], q[2];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"node": 1} | {"circuits": [], "gradients": []} |
7b9d379e9919bdeb97a3941fc421914c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [807, 805], "expectation_value": -58.26488560377609, "params": [1.197, 0.0073, 2.4010000000000002, 0.0058000000000000005, 2.4078, 0.008, 1.3778000000000001, 0.0077, 0.0018000000000000002, 0.0014, 2.4098, 0.0044, 1.3342, 0.0045000000000000005, 0.0029000000000000002, 0.006200000000000001, 2.4063000000000003, 0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(4) @ Z(8)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(10) @ Z(3)) + 6.5 * (Z(10) @ Z(9)) + 3.0 * Z(0) + 8.5 * Z(1) + 4.0 * Z(3) + 9.0 * Z(2) + 3.5 * Z(6) + 10.0 * Z(5) + 6.0 * Z(8) + -5.5 *... | 18 | 11 | 1 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.5, "smallest_bitstrings": ["10011011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.197) q[0];
rz(0.0073) q[0];
rx(2.401) q[1];
rz(0.0058) q[1];
rx(2.4078) q[2];
rz(0.008) q[2];
rx(1.3778) q[3];
rz(0.0077) q[3];
rx(0.0018) q[4];
rz(0.0014) q[4];
rx(2.4098) q[5];
rz(0.0044) q[5];
rx(1.3342) q[6];
rz(0.0045) q[6];
rx(0.0029) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
34fec832591d56601cbd146a15fec9ed | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -23.792319446139665, "params": null, "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.17065210880582868, 0.1899243564462108], "optimization_time": 153.42702984809875} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-3.4097) q[3];
ry(21.0543) q[2];
cry(-43.1702) q[2], q[3];
ry(14.4209) q[1];
ry(18.1586) q[4];
cry(-55.7026) q[1], q[3];
cry(28.9006) q[1], q[2];
ry(20.8652) q[0];
cry(10.9) q[1], q[4];
cry(8.6... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-3.4097) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
c5d57071b024d109c38c43678d62eaf1 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [24, 56], "expectation_value": -2.7791339144776224, "params": [[0.065, 0.040400000000000005, 0.0454, 0.0618], [-0.0678, -0.0391, -0.0368, -0.053500000000000006]], "bitstrings": ["100111", "000111"], "total_optimization_steps": 10, "probabilities": [0.028983759425245795, 0.029319907363981733], "optimization_t... | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.117) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.234) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.117) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.013) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.026) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
267f594e5cb21532a1a860c7d4e0717d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [57, 27], "expectation_value": -4.499860781211486, "params": null, "bitstrings": ["1000110", "1100100"], "total_optimization_steps": 32, "probabilities": [1.718434910041944e-05, 0.999910952118791], "optimization_time": 28.58724045753479} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + 0.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.4449) q[1];
ry(-1.4449) q[4];
ry(1.4449) q[6];
ry(1.4449) q[2];
ry(1.4384) q[5];
ry(1.4384) q[3];
cry(-0.1259) q[5], q[4];
cry(-0.1259) q[5], q[1];
cry(0.1248) q[2], q[3];
cry(0.12... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
a11609c04bedd6222d4b4ded1bbb7721 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": ... | {"states": [1344, 1348], "expectation_value": -23.17861724604584, "params": [-0.0034000000000000002, 0.4393, -0.0015, 0.4374, -0.8254, -0.1302, -0.8355, 0.08660000000000001, -0.0066, 0.5422, 0.0024000000000000002, 0.6581, 0.7767000000000001, 0.0252, 0.7938000000000001, 0.0181, -0.0026000000000000003, 0.6579, -0.0018000... | -1.0 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(0)) + -1.0 * (Z(8) @ Z(4)) + -1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -1.25 * (Z(10) @ Z(8)) + -1.5 * (Z(1) @ Z(10)) + -1.25 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(8)) + -0.75 * (Z(11) @ Z(1)) + -0.25 * (Z(5) @ Z(10)) + 4.0 * (Z(3) @ Z(0)) + -1.5 * ... | 6 | 12 | 2 | {"smallest_eigenvalues": [-24.75, -24.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -23.75, "smallest_bitstrings": ["111010111011", "101010111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0034) q[0];
rz(0.4393) q[0];
rx(-0.8254) q[1];
rz(-0.1302) q[1];
rx(-0.0066) q[2];
rz(0.5422) q[2];
rx(0.7767) q[3];
rz(0.0252) q[3];
rx(-0.0026) q[4];
rz(0.6579) q[4];
rx(0.5171) q[5];
rz(-0.0374) q[5];
rx(-0.0042) q[6];
rz(0.6529) q[6];
rx(-0.0059) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-1857830723659004417 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4, 5], [1, 2, 3], [3, 5, 6], [0, 2], [3, 4, 6]]} | {"states": [30, 55], "expectation_value": -0.482134803173418, "params": [[-0.2868], [0.279]], "bitstrings": ["1100001", "1001000"], "total_optimization_steps": 30, "probabilities": [0.016020062872774597, 0.01607525099887183], "optimization_time": 3.472659111022949} | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0956) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.0956) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.0956) q[5];
cx q[0], q[5];
cx q[0], q[2];
rz(-0.2868) q[2];
cx q[0], q[2];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.8831399904840991, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 2.222743511199951} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.4449) q[0];
cry(-1.0398) q[1], q[2];
ry(0.6944) q[1];
ry(-0.451) q[2];
cry(-0.2383) q[2], q[1];
cry(-0.112) q[1], q[0];
cry(-0.0349) q[2], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\ncry(-1.0398... |
1945c14bbcec92b7e4f7655d5da7795f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [128, 1], "expectation_value": -8.257007480993849, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 22, "probabilities": [0.16181872014306584, 0.644917025833557], "optimization_time": 26.31341004371643} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11111110", "10011010", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[3];
ry(-1.5706) q[6];
cry(-1.5708) q[7], q[0];
ry(-1.5708) q[2];
ry(-1.57) q[4];
ry(0.6154) q[7];
ry(-0.3357) q[0];
cry(0.5498) q[1], q[7];
cry(-0.2703) q[1], q[0];
ry(-1.3601) q[5];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
7288b540a0bf8f3c418c58c322e09934 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [34, 98], "expectation_value": -4.039239553085523, "params": [0.0012000000000000001, 0.2129, 0.39180000000000004, 0.10600000000000001, 0.4035, 0.0023, 0.0694, 0.2122, -0.0064, 0.194, 0.3986, 0.23950000000000002, 0.392, 0.24780000000000002, 0.38370000000000004, 0.02, 0.0022, 0.21710000000000002, 0.3946, 0.123... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 *... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["11011100", "10101011", "10011101", "10011011", "11011010", "01100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0012) q[0];
rz(0.2129) q[0];
rx(0.3918) q[1];
rz(0.106) q[1];
rx(0.4035) q[2];
rz(0.0023) q[2];
rx(0.0694) q[3];
rz(0.2122) q[3];
rx(-0.0064) q[4];
rz(0.194) q[4];
rx(0.3986) q[5];
rz(0.2395) q[5];
rx(0.392) q[6];
rz(0.2478) q[6];
rx(0.3837) q[7];
rz(0.02... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f0da153570ec19fd3e6a04b2d2085009 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [894, 1023], "expectation_value": -19.211423297141, "params": null, "bitstrings": ["0010000001", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.06362747308841464, 0.4471114887216389], "optimization_time": 199.36831188201904} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + -3.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(5)) + -3.0... | 5 | 10 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[6], q[1];
cry(1.1261) q[1], q[3];
cry(1.5709) q[1], q[5];
cry(-0.1668) q[5], q[6];
ry(-0.284) q[6];
cry(0.3199) q[3], q[6];
cry(0.0625) q[1], q[6];
cry(1.528) q[5],... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
e4fca27778e0f82d902d4f830d478842 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [338, 370], "expectation_value": -97.83786669690755, "params": [[-0.012700000000000001, 0.002, 0.7938000000000001, 0.07400000000000001, 0.8873000000000001, 0.2164, 0.8965000000000001, 0.1253, -0.0211, 0.7864, 0.0018000000000000002], [-0.0016, 0.0036000000000000003, 0.7864, 0.083, 0.902, 0.8943000000000001, 0... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(5) @ Z(7)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(0) @ Z(6)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(9)) + 7.5 * Z(2) + -6.0 * Z(1) + 5.0 * Z(3) + 8.0 * Z(4) + 9.5 * Z(7) + 15.5 * Z(5)... | 10 | 11 | 3 | {"smallest_eigenvalues": [-125.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.5, "smallest_bitstrings": ["11010001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0127) q[0];
ry(0.002) q[1];
ry(0.7938) q[2];
ry(0.074) q[3];
ry(0.8873) q[4];
ry(0.2164) q[5];
ry(0.8965) q[6];
ry(0.1253) q[7];
ry(-0.0211) q[8];
ry(0.7864) q[9];
ry(0.0018) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.9999963636222439, "params": null, "bitstrings": ["0", "1"], "total_optimization_steps": 2, "probabilities": [1.8181888780401846e-06, 0.9999981818111219], "optimization_time": 0.16813230514526367} | -1.0 * Z(0) | 5 | 1 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[1] c;
qubit[1] q;
h q[0];
ry(-1.5681) q[0];
c[0] = measure q[0]; | null | {"start_node": 0, "end_node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n"], "gradients": [1.0, 0.001]} |
8790253148889747345 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 6], [0, 5, 6], [2, 3, 4, 6], [0, 2, 3], [3, 4, 5]]} | {"states": [77, 109], "expectation_value": -1.4604867375249102, "params": null, "bitstrings": ["0110010", "0010010"], "total_optimization_steps": 34, "probabilities": [0.1081619665311267, 0.84881968693055], "optimization_time": 43.830814361572266} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["1000100", "0010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.4074) q[3];
ry(1.2313) q[6];
cry(0.2832) q[3], q[6];
cry(-0.4008) q[4], q[5];
cry(-0.3982) q[4], q[2];
cry(-0.3449) q[0], q[5];
ry(0.4003) q[4];
cry(-0.4734) q[0], q[2];
ry(0.5342) q[0];
cry(-0.4366)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4074) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
fc4b1ebc6188a30e9c9ceddb9a0bca94 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [95, 91], "expectation_value": -78.5324163305503, "params": [0.0021000000000000003, 0.0098, 3.0025, 0.005, -0.0024000000000000002, 0.0054, 2.9975, 0.0083, 3.0028, 0.0092, 1.5314, 0.0017000000000000001, 2.9878, 0.0095, 2.9891, 0.0016, 0.0089, 0.0045000000000000005, 0.0091, 0.0016, 0.0066, 0.0044, 0.0008, 0.00... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(0) @ Z(4)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(5) @ Z(6)) + -2.0 * Z(2) + 6.5 * Z(1) + 28.0 * ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["10100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0021) q[0];
rz(0.0098) q[0];
rx(3.0025) q[1];
rz(0.005) q[1];
rx(-0.0024) q[2];
rz(0.0054) q[2];
rx(2.9975) q[3];
rz(0.0083) q[3];
rx(3.0028) q[4];
rz(0.0092) q[4];
rx(1.5314) q[5];
rz(0.0017) q[5];
rx(2.9878) q[6];
rz(0.0095) q[6];
rx(2.9891) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
c10816059bf6f09b69b466d0274bbc7b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"sour... | {"states": [439, 183], "expectation_value": -4.608039505601204, "params": [[[0.734, 0.0448], [0.9105000000000001, 0.0011], [-0.0077, 0.46490000000000004], [0.8410000000000001, -0.0022], [0.902, -0.0013000000000000002], [-0.0012000000000000001, 0.5104000000000001], [0.9101, -0.0033], [0.9103, -0.0025], [0.9049, 0.003400... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -2.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(2) + -0.5 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101001000", "001101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.734) q[0];
rz(0.0448) q[0];
rx(0.9105) q[1];
rz(0.0011) q[1];
rx(-0.0077) q[2];
rz(0.4649) q[2];
rx(0.841) q[3];
rz(-0.0022) q[3];
rx(0.902) q[4];
rz(-0.0013) q[4];
rx(-0.0012) q[5];
rz(0.5104) q[5];
rx(0.9101) q[6];
rz(-0.0033) q[6];
rx(0.9103) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6453080796776710638 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 5, 6, 10], [0, 1], [0, 2, 3], [0, 2, 4, 9, 10], [8, 3, 6], [8, 2], [0, 5, 7], [1, 2, 3, 4, 6, 7], [9, 10, 3, 6], [10, 5, 6, 7], [8, 0, 3], [1, 2, 4, 5, 7, 9, 10], [0, 3, 7, 9, 10], [2, 3, 5, 7, 9, 10]]} | {"states": [1499, 1497], "expectation_value": -2.9313079456169864, "params": [1.5885, 1.5904, 0.1963, 0.18530000000000002, 1.5752000000000002, 1.5532000000000001, 1.5784, 1.5744, 1.1972, 1.584, 0.5474, 0.541, 1.5847, 1.5727, 0.5102, 0.5642, 0.1862, 0.18100000000000002, 0.5374, 0.8555, 1.5642, 1.1995, 0.9882000000000001... | 0.26666666666666666 * (Z(0) @ Z(2)) + 0.10714285714285715 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.15714285714285714 * (Z(10) @ Z(2)) + 0.15000000000000002 * (Z(10) @ Z(0)) + 0.19047619047619047 * (Z(10) ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.609523809523809], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.55952380952381, "smallest_bitstrings": ["01000100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5885) q[0];
ry(0.1963) q[1];
ry(1.5752) q[2];
ry(1.5784) q[3];
ry(1.1972) q[4];
ry(0.5474) q[5];
ry(1.5847) q[6];
ry(0.5102) q[7];
ry(0.1862) q[8];
ry(0.5374) q[9];
ry(1.5642) q[10];
crx(0.9882) q[10], q[0];
crx(0.1206) q[9], q[10];
crx(1.5607) q[8], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6172ec2f30329f156b64312801e66ef4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [36, 37], "expectation_value": -6.585557740801983, "params": [0.0023, -0.2001, -0.0006000000000000001, -0.3002, 0.906, -0.0066, 0.9965, 0.5764, 0.0018000000000000002, 0.7316, 0.0017000000000000001, 0.8756, -0.0013000000000000002, 1.5202, -0.0023, 0.1012, 0.5082, -0.2383, 0.49050000000000005, 0.189, 0.3478, 0... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 7 | 7 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0023) q[0];
rz(-0.2001) q[0];
rx(0.906) q[1];
rz(-0.0066) q[1];
rx(0.0018) q[2];
rz(0.7316) q[2];
rx(-0.0013) q[3];
rz(1.5202) q[3];
rx(0.5082) q[4];
rz(-0.2383) q[4];
rx(0.3478) q[5];
rz(0.0149) q[5];
rx(-0.4229) q[6];
rz(0.122) q[6];
crz(-0.0131) q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-5090129538137167010 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2, 3], [0, 1, 2], [1, 2, 3]]} | {"states": [10, 13], "expectation_value": -0.028966445214748813, "params": [[0.0729], [-0.0714]], "bitstrings": ["0101", "0010"], "total_optimization_steps": 10, "probabilities": [0.06400834748944542, 0.06445252293053862], "optimization_time": 0.3845038414001465} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.3333333333333333 * Z(0) + 0.3333333333333333 * Z(3) + 0.3333333333333333 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(0.0486) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0486) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0243) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0486) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.0243) q[1];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x1) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(x... | null | {"circuits": [], "gradients": []} |
1193544933331346 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [1, 6], [2, 4], [3, 5, 6], [0, 2, 6]]} | {"states": [71, 25], "expectation_value": -0.014439706630857849, "params": [[0.047], [-0.0376]], "bitstrings": ["0111000", "1100110"], "total_optimization_steps": 10, "probabilities": [0.008034209739011937, 0.008034272596609484], "optimization_time": 176.8558235168457} | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666663 * Z(3)... | 14 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.166666666666666, "smallest_bitstrings": ["1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.047) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(0.0157) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(0.0157) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(0.047) q[1];
cx q[6], q[1];
cx q[0], q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x1) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} |
73162755fd3fb63ec250bb0297031b85 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [5, 7], "expectation_value": -3.0719352683002965, "params": null, "bitstrings": ["111010", "111000"], "total_optimization_steps": 29, "probabilities": [0.13263570914780165, 0.6774955918682292], "optimization_time": 21.169445514678955} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010", "111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[2];
ry(-1.4449) q[4];
cry(-1.0398) q[5], q[0];
cry(-1.0398) q[3], q[1];
ry(0.7022) q[5];
ry(0.7022) q[3];
ry(-0.4578) q[1];
ry(-0.4578) q[0];
cry(0.4586) q[5], q[3];
cry(0.4522) q[3], q[5];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
c95554156fd9fd4c4809b94d3c10a672 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1323, 1321], "expectation_value": -123.11741533879353, "params": [0.23470000000000002, 0.2735, 0.6937, 0.0018000000000000002, -0.0026000000000000003, 0.5099, 0.6944, -0.0751, 0.31930000000000003, -0.16770000000000002, 0.0001, 0.4237, 0.7021000000000001, 0.0043, 0.0001, 0.3115, 0.6932, 0.0017000000000000001,... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(8) @ Z(3)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(11) @ Z(1)) + 8.0 * (Z(11) @ Z(4)) + 8.0 * (Z(11) @ Z(10)) + 15.0 * Z(1) + 3.0 * Z(0) + 10.0 * Z(4) + 15.5 * Z(... | 18 | 12 | 4 | {"smallest_eigenvalues": [-150.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.5, "smallest_bitstrings": ["101011010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.2347) q[0];
rz(0.2735) q[0];
rx(0.6937) q[1];
rz(0.0018) q[1];
rx(-0.0026) q[2];
rz(0.5099) q[2];
rx(0.6944) q[3];
rz(-0.0751) q[3];
rx(0.3193) q[4];
rz(-0.1677) q[4];
rx(0.0001) q[5];
rz(0.4237) q[5];
rx(0.7021) q[6];
rz(0.0043) q[6];
rx(0.0001) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
109dd65f843c7effe1b685156edca6d7 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [6, 7], "expectation_value": -14.011987836909, "params": [[[0.1995, -0.19720000000000001], [0.2751, 0.18460000000000001], [0.2235, 0.184], [0.264, 0.1836], [0.26780000000000004, 0.1835], [0.5984, 0.0007], [0.5992000000000001, 0.0013000000000000002], [0.5951000000000001, 0.0005]], [[0.1978, -0.197200000000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1995) q[0];
rz(-0.1972) q[0];
rx(0.2751) q[1];
rz(0.1846) q[1];
rx(0.2235) q[2];
rz(0.184) q[2];
rx(0.264) q[3];
rz(0.1836) q[3];
rx(0.2678) q[4];
rz(0.1835) q[4];
rx(0.5984) q[5];
rz(0.0007) q[5];
rx(0.5992) q[6];
rz(0.0013) q[6];
rx(0.5951) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
c93c716f35031a09dd851ff3225d4cd1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 9}, {"capacity": 1, "source": 0, "target": 11}, {"capacity": 2, "source":... | {"states": [0, 2047], "expectation_value": -13.975863345403353, "params": [[[0.0028, -1.2957], [-0.0028, -0.003], [0.0023, 0.0023], [0.0021000000000000003, 0.0022], [0.0026000000000000003, 0.0028], [0.0024000000000000002, -0.0029000000000000002], [0.0022, 0.0026000000000000003], [0.0025, 0.0024000000000000002], [0.0019... | -0.25 * (Z(0) @ Z(11)) + 0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(11)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(8) @ Z(11)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(7)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(9)) + -0.25 * (Z(10)... | 15 | 12 | 2 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0028) q[0];
ry(-0.0028) q[1];
ry(0.0023) q[2];
ry(0.0021) q[3];
ry(0.0026) q[4];
ry(0.0024) q[5];
ry(0.0022) q[6];
ry(0.0025) q[7];
ry(0.0019) q[8];
ry(0.0024) q[9];
ry(0.0031) q[10];
ry(-1.6689) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
807a63e492ab5ccd6fcf63229c2e7564 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target":... | {"states": [508, 511], "expectation_value": -11.830203644418564, "params": null, "bitstrings": ["000000011", "000000000"], "total_optimization_steps": 100, "probabilities": [0.13069824327841187, 0.44502481358268775], "optimization_time": 233.2467896938324} | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + 0.5 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000", "000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[3], q[6];
cry(1.5708) q[6], q[1];
cry(1.5164) q[1], q[0];
cry(1.0297) q[1], q[3];
cry(-1.5235) q[1], q[6];
ry(0.0051) q[6];
cry(-0.0001) q[0], q[6];
cry(1.8237) q[4], q[6];
c... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
-4604205967297380154 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3], [2, 4, 5, 7, 8], [0, 3, 4, 6, 8], [2, 3, 5, 6, 7], [8, 1, 4, 7], [1, 3, 4, 7], [8, 1, 3, 4], [8, 1, 4, 5], [1, 2, 3, 5, 6], [8, 0, 2, 6], [2, 5, 6, 7, 8], [0, 1, 3, 4, 5], [8, 2, 3, 7], [8, 0, 2, 5]]} | {"states": [427, 431], "expectation_value": -3.2216424705331455, "params": null, "bitstrings": ["001010100", "001010000"], "total_optimization_steps": 58, "probabilities": [0.08437380626062622, 0.8218723145618207], "optimization_time": 155.08111953735352} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.35 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.2833333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(3)) + 0.18333333333333335 * (Z(5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.283333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2, "smallest_bitstrings": ["001010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5691) q[8];
ry(1.544) q[3];
ry(1.2293) q[5];
cry(-0.8325) q[1], q[4];
cry(-0.773) q[0], q[2];
ry(0.9197) q[7];
ry(0.6052) q[0];
cry(-0.8131) q[7], q[2];
cry(0.6714) q[8], q[0];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5691) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
4187cb356e6f58a0c6714f20153352eb | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [145, 147], "expectation_value": -10.999986261504706, "params": null, "bitstrings": ["101101110", "101101100"], "total_optimization_steps": 41, "probabilities": [0.49999845943863325, 0.49999997784832195], "optimization_time": 65.55303764343262} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -10.0, "smallest_bitstrings": ["101111110", "111111110", "111101100", "111111100", "111101110", "101101110", "101101100", "101111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[4];
cry(1.5708) q[4], q[1];
cry(-1.5708) q[4], q[2];
cry(1.5706) q[1], q[8];
ry(-1.5708) q[0];
cry(-1.5708) q[4], q[3];
cry(-1.5486) q[8], q[5];
ry(-1.4447) q[6];
cry(-0.119) ... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
41c6fd253707f3493d5d4e5aa1da9109 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [128, 1], "expectation_value": -3.5616171353467028, "params": [[0.052000000000000005, 0.06860000000000001, 0.069, 0.0644], [-0.0094, -0.0492, -0.0601, -0.0626]], "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 10, "probabilities": [0.013748375610250899, 0.0189288053714438], "optimization_... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.052) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.104) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.104) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.052) q[4];
cx q[1], q[4];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
8480120542533517580 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [0, 2], [3, 6], [3, 5]]} | {"states": [99, 104], "expectation_value": -0.009609704944821856, "params": [[-0.0339], [0.035500000000000004]], "bitstrings": ["0011100", "0010111"], "total_optimization_steps": 10, "probabilities": [0.00796360101500514, 0.00796360101500514], "optimization_time": 0.9464166164398193} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["1101000", "0010111", "0111000", "0110011", "1000111", "0011100", "1001100", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(-0.0339) q[1];
cx q[4], q[1];
cx q[2], q[0];
rz(-0.0339) q[0];
cx q[2], q[0];
cx q[6], q[3];
rz(-0.0339) q[3];
cx q[6], q[3];
cx q[3], q[5];
rz(-0.0339) q[5];
cx q[3], q[5];
rz(0) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[5];
... | null | {"circuits": [], "gradients": []} |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [231, 239], "expectation_value": -8.827607927738782, "params": [0.6075, 0.0049, 0.6016, 0.0056, 0.6032000000000001, 0.0074, 0.0034000000000000002, 0.4027, 0.5972000000000001, -0.0039000000000000003, 0.6061000000000001, 0.004200000000000001, 0.6071000000000001, 0.0067, 0.6061000000000001, 0.0025, 0.6064, 0.00... | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6075) q[0];
rz(0.0049) q[0];
rx(0.6016) q[1];
rz(0.0056) q[1];
rx(0.6032) q[2];
rz(0.0074) q[2];
rx(0.0034) q[3];
rz(0.4027) q[3];
rx(0.5972) q[4];
rz(-0.0039) q[4];
rx(0.6061) q[5];
rz(0.0042) q[5];
rx(0.6071) q[6];
rz(0.0067) q[6];
rx(0.6061) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
f3f2872870ba47278d97d5dc1b7df9d5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4},... | {"states": [31, 511], "expectation_value": -17.814991864449194, "params": [-0.0026000000000000003, -0.0025, -0.0024000000000000002, -0.0025, -0.9517, -0.9634, -0.0027, -0.0028, -0.0027, -0.0026000000000000003, 0.7703, -0.6663, -1.5733000000000001, -1.5712000000000002, -0.0022, -0.0022, -0.0023, -0.0023, -1.552, 1.55280... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0... | 14 | 11 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["11000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0026) q[0];
ry(-0.0024) q[1];
ry(-0.9517) q[2];
ry(-0.0027) q[3];
ry(-0.0027) q[4];
ry(0.7703) q[5];
ry(-1.5733) q[6];
ry(-0.0022) q[7];
ry(-0.0023) q[8];
ry(-1.552) q[9];
ry(-1.5685) q[10];
crx(0.0022) q[10], q[0];
crx(1.34) q[9], q[10];
crx(2.2415) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
-8322962800216742581 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 6], [0, 3], [1, 3, 5], [0, 2, 5, 6], [0, 1, 2, 4], [1, 2, 3, 6]]} | {"states": [115, 114], "expectation_value": -1.0858333203124455, "params": [1.0971, 0.013000000000000001, 1.1013, 0.0053, 1.0982, 0.0125, 1.0967, 0.0006000000000000001, 1.0935000000000001, 0.0081, 1.0915000000000001, 0.0086, 0.8864000000000001, -0.0016, 0.8611000000000001, 0.0012000000000000001, 1.0954000000000002, -0.... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666... | 6 | 7 | 1 | {"smallest_eigenvalues": [-1.7499999999999996, -1.7499999999999996], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["0001101", "0011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.0971) q[0];
rz(0.013) q[0];
rx(1.0982) q[1];
rz(0.0125) q[1];
rx(1.0935) q[2];
rz(0.0081) q[2];
rx(0.8864) q[3];
rz(-0.0016) q[3];
rx(1.0954) q[4];
rz(-0.0688) q[4];
rx(1.1039) q[5];
rz(0.0149) q[5];
rx(1.0907) q[6];
rz(0.0091) q[6];
crx(0.205) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-1918728557046605604 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 6], [1, 3, 5], [0, 1], [4, 5], [0, 2], [2, 3], [2, 4, 6], [3, 5, 6], [1, 6]]} | {"states": [75, 77], "expectation_value": -0.06261363355424573, "params": [[0.06770000000000001], [-0.0572]], "bitstrings": ["0110100", "0110010"], "total_optimization_steps": 10, "probabilities": [0.008385467979746096, 0.00851109447591833], "optimization_time": 2.054941415786743} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.1666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["0110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0226) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(0.0451) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(0.0226) q[6];
cx q[0], q[6];
cx q[3], q[1];
rz(0.0226) q[1];
cx q[3], q[1];
cx q[0], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x1) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
50803b752054f0512687e537ee7368f9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [16, 20], "expectation_value": -2.6785316592770405, "params": [0.6025, 0.0037, 0.0025, 0.4521, 0.6007, 0.1778, 0.15940000000000001, 0.313, 0.0037, 0.4431, 0.6087, 0.0086, 0.00030000000000000003, 0.4314, 0.5997, 0.21580000000000002, 0.1615, 0.3335, -0.0014, 0.2576, 0.6101, 0.0037, 0.0025, 0.0005, 0.6016, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(2) + -1.0 * Z(4) | 18 | 5 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.6025) q[0];
rz(0.0037) q[0];
rx(0.0025) q[1];
rz(0.4521) q[1];
rx(0.6007) q[2];
rz(0.1778) q[2];
rx(0.1594) q[3];
rz(0.313) q[3];
rx(0.0037) q[4];
rz(0.4431) q[4];
crz(-0.4303) q[4], q[0];
crz(-0.3119) q[3], q[4];
crz(0.3482) q[2], q[3];
crz(-0.4355) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4522096116601947542 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[12, 7], [1, 12], [11, 5, 7], [8, 9, 10], [8, 9, 7], [9, 3], [11, 12], [1, 11], [4, 5], [8, 6], [0, 9, 1], [2, 11], [8, 2, 12], [1, 3], [2, 5], [8, 10, 11], [2, 3], [0, 8, 1], [3, 4, 6], [1, 7], [10, 5, 7]]} | {"states": [4850, 4786], "expectation_value": -5.406699758103331, "params": [[[2.3094, 0.0011, 0.0002, 0.0005], [0.0017000000000000001, -0.009000000000000001, -0.005, 0.0051], [0.0029000000000000002, 0.0082, 0.0095, 0.0014], [1.256, 0.0029000000000000002, 0.9457000000000001, 0.0011], [0.0025, 0.0079, 0.0099, 0.00390000... | 0.5 * (Z(12) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(12)) + 0.16666666666666666 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(12)) + 0.5 * (Z(11) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(11)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(12)) + 0.16666666666... | 12 | 13 | 1 | {"smallest_eigenvalues": [-6.333333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["0110101001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(2.3094) q[0];
rz(0.0011) q[0];
ry(0.0017) q[1];
rz(-0.009) q[1];
ry(0.0029) q[2];
rz(0.0082) q[2];
ry(1.256) q[3];
rz(0.0029) q[3];
ry(0.0025) q[4];
rz(0.0079) q[4];
ry(1.049) q[5];
rz(0.0028) q[5];
ry(1.5319) q[6];
rz(0.0005) q[6];
ry(-0.003) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8688763616674854855 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [1, 4], [0, 5], [1, 2], [1, 5], [0, 1], [2, 5]]} | {"states": [59, 42], "expectation_value": -2.090341750175707, "params": null, "bitstrings": ["000100", "010101"], "total_optimization_steps": 35, "probabilities": [0.041574363371893394, 0.8350337070730963], "optimization_time": 29.371424436569214} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[5], q[1];
cry(-1.0342) q[0], q[3];
ry(1.0293) q[0];
ry(-0.6992) q[3];
cry(-0.6534) q[4], q[1];
ry(1.0459) q[4];
cry(1.1977) q[4], q[2];
cry(-0.4454) q[2], q[1];
cry(0.4357) q[4], q[0];
cry(-1.1161)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
c57625ce2de67c1086ad1c24582707c2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -0.46633386483889105, "params": [[-0.08220000000000001, -0.0775], [0.0801, 0.07830000000000001]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.023116514816684308, 0.02429870315245219], "optimization_time": 1.8015682697296143} | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "111010", "101010", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.1233) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0822) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0411) q[4];
cx q[2], q[4];
cx q[2], q[5];
rz(0.0411) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.164... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
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